Medians, altitudes and bisectors: name them, and find where they meet

Answer Key - Grade 10 Math Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.

1. 1.

   Kira draws triangle DFH. Segment DQ runs from vertex D to Q, the midpoint of side FH, and does not meet FH at a right angle. What is DQ called?

   • a perpendicular bisector
   • an angle bisector
   • an altitude
   • a median
2. 2.

   Luz draws triangle DFH. Segment FS runs from vertex F to side DH and meets DH at a right angle, but S is not the midpoint of DH. What is FS called?

   • an altitude
   • an angle bisector
   • a perpendicular bisector
   • a median
3. 3.

   Milo draws triangle DFH. Segment HU runs from vertex H to U on side DF and splits ∠DHF into two equal angles. What is HU called?

   • an angle bisector
   • a median
   • a perpendicular bisector
   • an altitude
4. 4.

   Noah draws triangle DFH. Line WQ crosses side FH at its midpoint Q, makes a right angle with FH, and does not pass through vertex D. What is WQ called?

   • a median
   • an angle bisector
   • a perpendicular bisector
   • an altitude
5. 5.

   Ren plans a triangular flower bed DFH and marks its centroid G. Median DQ is 36 inches long. How long is DG, in inches?

   24
6. 6.

   Tala studies the triangular front DFH of a tent and marks its centroid G. Median DQ is 45 cm long. How long is DG, in cm?

   30
7. 7.

   Ari draws triangle DFH and the three medians. They meet at point G. What is point G called?

   • the orthocenter
   • the circumcenter
   • the centroid
   • the incenter
8. 8.

   Bo draws triangle DFH and the perpendicular bisectors of the three sides. They meet at point O. What is point O called?

   • the centroid
   • the incenter
   • the orthocenter
   • the circumcenter
9. 9.

   Esme draws triangle DFH and the three angle bisectors. They meet at point I. What is point I called?

   • the centroid
   • the orthocenter
   • the circumcenter
   • the incenter
10. 10.

    Jun draws triangle DFH and the three altitudes. They meet at point Y. What is point Y called?

    • the orthocenter
    • the centroid
    • the circumcenter
    • the incenter